Chapter 4.4, Problem 34PPE

To determine

Whether the point $\left(2,2\frac{1}{2}\right)$ on the graph of $y=x+2$ .

Answer to Problem 34PPE

The order pair $\left(2,2\frac{1}{2}\right)$ is not on the graph of equation $y=x+2$ .

Explanation of Solution

Given information :

Given equation $y=x+2$ .

As we know that the order pair is a solution of an equation, if the order satisfies the given equation and hence that order pair lies on the graph of equation.

Now plug $\left(x,y\right)=\left(2,2\frac{1}{2}\right)$ in $y=x+2$ , we get

  $\begin{array}{l}\Rightarrow 2\frac{1}{2}=2+2\\ \Rightarrow \frac{5}{2}\ne 4.\end{array}$

So, the order pair $\left(2,2\frac{1}{2}\right)$ is not the solution of given equation.

Hence, the order pair $\left(2,2\frac{1}{2}\right)$ is not on the graph of equation $y=x+2$ .